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Finding the Fourth Proportional to 323.24, 446.06 and 175.86

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Solution

The fourth proportional to 323.24, 446.06 and 175.86 is: 242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.24 : 446.06 = 175.86 : x
  2. Step 2: Convert to fraction form
    323.24/446.06 = 175.86/x
  3. Step 3: Cross multiply
    323.24x = 446.06 × 175.86
  4. Step 4: Simplify right side
    323.24x = 78,443.23
  5. Step 5: Solve for x
    x = 78,443.23/323.24
  6. Step 6: Final answer
    x = 242.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.